What is your displacement if you walk 80 m north, 15 m east, 20 m south, 35 m west, and then 60 m south?

Answer by Guest

Distance traveled N/S:

(80 m north) + (20 m south) + (60 m south)

(80 m) + (-20 m) + (-60 m)

0 m north/south


Distance traveled E/W:

(15 m east) + (35 m west)

(15 m) + (-35 m)

-20 m

20 m west


Resultant distance:

a² + b² = c²

a = 0 m north/south
b = 20 m west

c² = (0 m)² + (20 m)²

c² = (20 m)²

c = 20 m

Overall displacement = 20 m

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